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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Side 116
av Rev. John Allen - 1822 - 494 sider
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volum 2

Perry Fairfax Nursey - 1824 - 470 sider
...with its small angle turned to each extremity of the line. X — On affinen line, as AB, to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Fig. 9. Bisect the given line AB, perpendicularly (by Prop. III.) by the line С D ; apply 10 of the...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 616 sider
...of the proposition, is shewn the method of describing, upon a given finite straight line as a base, an isosceles triangle, having each of the angles at the base double of the third angle. 25. COR. 3. The figure ABHFMCDGEL being an equilateral and equiangular decagon,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 sider
...&c. QEF Deduction. To describe a circle about a given parallelogram. PROPOSITION X. PROBLEM. To make an isosceles triangle having each of the angles at the base double of the remaining angle. Let AB be any given right line, and • 1i. 2. cut it in the point с,a so...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...point E. Deduction. To describe a circle about a given parallelogram. PROPOSITION X. PROBLEM. To make an isosceles triangle having each of the angles at the base double of the remaining angle. Let AB be any given right line, and cut it in the point c, a so that the rectangle...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 sider
...hence the triangles ABC, abc are similar. / PROPOSITION XIV. PROBLEM. Upon a given base AB to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Produce AB till the rectangle AC-BC may be equal to the square of AB (Prop. XXXII. Cor. B. VI.), then,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. •11.2. Take any straight line AB, and divide* it in the point C, so that the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double the third angle. • 11.2. Take any straight line AB, and divide1 it in the point C, so that the rectangle...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 sider
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double the third angle. a 11.2. Take any straight line AB, and divide* it in the point C, so that the rectangle...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...extremities of the other three, and be described about the square ABCD. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and (II. 11) divide it in the point C, so that the rectangle...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...extremities of the other three, and be described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * This is considered the most useful problem in Euclid. Steps of the Demonstration....
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